2437972992 has 880 divisors, whose sum is σ = 9986739840. Its totient is φ = 573308928.

The previous prime is 2437972991. The next prime is 2437972997. The reversal of 2437972992 is 2992797342.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2437972991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128314359 + ... + 128314377.

It is an arithmetic number, because the mean of its divisors is an integer number (11348568).

Almost surely, 2^2437972992 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 2437972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993369920).

2437972992 is an abundant number, since it is smaller than the sum of its proper divisors (7548766848).

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

2437972992 is a wasteful number, since it uses less digits than its factorization.

2437972992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 61 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 2437972992 is about 49375.8340891574. The cubic root of 2437972992 is about 1345.8901975285.

The spelling of 2437972992 in words is "two billion, four hundred thirty-seven million, nine hundred seventy-two thousand, nine hundred ninety-two".