2977486900416 has 1008 divisors, whose sum is σ = 11309824431360. Its totient is φ = 770809374720.

The previous prime is 2977486900387. The next prime is 2977486900417. The reversal of 2977486900416 is 6140096847792.

2977486900416 is a `hidden beast` number, since 2 + 97 + 7 + 48 + 6 + 90 + 0 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2977486900417) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 333010506 + ... + 333019446.

It is an arithmetic number, because the mean of its divisors is an integer number (11220063920).

Almost surely, 2^{2977486900416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2977486900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654912215680).

2977486900416 is an abundant number, since it is smaller than the sum of its proper divisors (8332337530944).

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

2977486900416 is a wasteful number, since it uses less digits than its factorization.

2977486900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9024 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 2977486900416 in words is "two trillion, nine hundred seventy-seven billion, four hundred eighty-six million, nine hundred thousand, four hundred sixteen".