2977026048000 has 896 divisors, whose sum is σ = 11151893296440. Its totient is φ = 793077350400.

The previous prime is 2977026047971. The next prime is 2977026048011. The reversal of 2977026048000 is 8406207792.

It can be written as a sum of positive squares in 4 ways, for example, as 1454783348736 + 1522242699264 = 1206144^2 + 1233792^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2985983502 + ... + 2985984498.

Almost surely, 2^{2977026048000} is an apocalyptic number.

2977026048000 is a gapful number since it is divisible by the number (20) 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 2977026048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575946648220).

2977026048000 is an abundant number, since it is smaller than the sum of its proper divisors (8174867248440).

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

2977026048000 is an frugal number, since it uses more digits than its factorization.

2977026048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2977026048000 in words is "two trillion, nine hundred seventy-seven billion, twenty-six million, forty-eight thousand".