2977673094144 has 1320 divisors, whose sum is σ = 11124657510912. Its totient is φ = 788140523520.

The previous prime is 2977673094139. The next prime is 2977673094163. The reversal of 2977673094144 is 4414903767792.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4905556689 + ... + 4905557295.

Almost surely, 2^{2977673094144} is an apocalyptic number.

2977673094144 is a gapful number since it is divisible by the number (24) 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 2977673094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562328755456).

2977673094144 is an abundant number, since it is smaller than the sum of its proper divisors (8146984416768).

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

2977673094144 is a wasteful number, since it uses less digits than its factorization.

2977673094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 2977673094144 in words is "two trillion, nine hundred seventy-seven billion, six hundred seventy-three million, ninety-four thousand, one hundred forty-four".