2977006032 has 480 divisors, whose sum is σ = 11785912320. Its totient is φ = 675578880.

The previous prime is 2977005959. The next prime is 2977006033. The reversal of 2977006032 is 2306007792.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2977006033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2738193 + ... + 2739279.

It is an arithmetic number, because the mean of its divisors is an integer number (24553984).

Almost surely, 2^2977006032 is an apocalyptic number.

2977006032 is a gapful number since it is divisible by the number (22) 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 2977006032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892956160).

2977006032 is an abundant number, since it is smaller than the sum of its proper divisors (8808906288).

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

2977006032 is a wasteful number, since it uses less digits than its factorization.

2977006032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 2977006032 is about 54561.9467394630. The cubic root of 2977006032 is about 1438.5553335441. Note that the first 3 decimals are identical.

The spelling of 2977006032 in words is "two billion, nine hundred seventy-seven million, six thousand, thirty-two".