2932457240064 has 320 divisors, whose sum is σ = 8735695879680. Its totient is φ = 866592030720.

The previous prime is 2932457239991. The next prime is 2932457240081. The reversal of 2932457240064 is 4600427542392.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2932457239995 and 2932457240022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149536692 + ... + 149556300.

It is an arithmetic number, because the mean of its divisors is an integer number (27299049624).

Almost surely, 2^{2932457240064} is an apocalyptic number.

2932457240064 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 2932457240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367847939840).

2932457240064 is an abundant number, since it is smaller than the sum of its proper divisors (5803238639616).

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

2932457240064 is a wasteful number, since it uses less digits than its factorization.

2932457240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19861 (or 19845 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 2932457240064 in words is "two trillion, nine hundred thirty-two billion, four hundred fifty-seven million, two hundred forty thousand, sixty-four".