1977266984 has 128 divisors (see below), whose sum is σ = 4799692800. Its totient is φ = 741312000.

The previous prime is 1977266983. The next prime is 1977267023. The reversal of 1977266984 is 4896627791.

It is not an unprimeable number, because it can be changed into a prime (1977266981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1994729 + ... + 1995719.

It is an arithmetic number, because the mean of its divisors is an integer number (37497600).

Almost surely, 2^1977266984 is an apocalyptic number.

1977266984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1977266984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399846400).

1977266984 is an abundant number, since it is smaller than the sum of its proper divisors (2822425816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1977266984 is a wasteful number, since it uses less digits than its factorization.

1977266984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1131 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 59.

The square root of 1977266984 is about 44466.4703343992. The cubic root of 1977266984 is about 1255.1292140625.

The spelling of 1977266984 in words is "one billion, nine hundred seventy-seven million, two hundred sixty-six thousand, nine hundred eighty-four".