2937253968 has 320 divisors, whose sum is σ = 9629859840. Its totient is φ = 849139200.

The previous prime is 2937253967. The next prime is 2937253973. The reversal of 2937253968 is 8693527392.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2937253961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18708546 + ... + 18708702.

It is an arithmetic number, because the mean of its divisors is an integer number (30093312).

Almost surely, 2^2937253968 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 2937253968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814929920).

2937253968 is an abundant number, since it is smaller than the sum of its proper divisors (6692605872).

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

2937253968 is a wasteful number, since it uses less digits than its factorization.

2937253968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 2937253968 is about 54196.4387021878. The cubic root of 2937253968 is about 1432.1235939848.

The spelling of 2937253968 in words is "two billion, nine hundred thirty-seven million, two hundred fifty-three thousand, nine hundred sixty-eight".