2996037408 has 576 divisors, whose sum is σ = 10766794752. Its totient is φ = 711659520.

The previous prime is 2996037397. The next prime is 2996037409. The reversal of 2996037408 is 8047306992.

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

It is not an unprimeable number, because it can be changed into a prime (2996037409) 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, 80973966 + ... + 80974002.

It is an arithmetic number, because the mean of its divisors is an integer number (18692352).

Almost surely, 2^2996037408 is an apocalyptic number.

2996037408 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 2996037408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383397376).

2996037408 is an abundant number, since it is smaller than the sum of its proper divisors (7770757344).

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

2996037408 is a wasteful number, since it uses less digits than its factorization.

2996037408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2996037408 is about 54736.0704471923. The cubic root of 2996037408 is about 1441.6142853381.

The spelling of 2996037408 in words is "two billion, nine hundred ninety-six million, thirty-seven thousand, four hundred eight".