2942977137408 has 864 divisors, whose sum is σ = 10970962329600. Its totient is φ = 736327065600.

The previous prime is 2942977137341. The next prime is 2942977137409. The reversal of 2942977137408 is 8047317792492.

2942977137408 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 97 + 7 + 137 + 408 = 666.

It is a super-2 number, since 2×2942977137408² (a number of 26 digits) contains 22 as substring.

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 (2942977137409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1314414753 + ... + 1314416991.

Almost surely, 2^{2942977137408} is an apocalyptic number.

2942977137408 is a gapful number since it is divisible by the number (28) 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 2942977137408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485481164800).

2942977137408 is an abundant number, since it is smaller than the sum of its proper divisors (8027985192192).

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

2942977137408 is a wasteful number, since it uses less digits than its factorization.

2942977137408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 2942977137408 in words is "two trillion, nine hundred forty-two billion, nine hundred seventy-seven million, one hundred thirty-seven thousand, four hundred eight".