2972603040 has 192 divisors, whose sum is σ = 10260214272. Its totient is φ = 717440000.

The previous prime is 2972603027. The next prime is 2972603057. The reversal of 2972603040 is 403062792.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2972602992 and 2972603010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1324159 + ... + 1326401.

It is an arithmetic number, because the mean of its divisors is an integer number (53438616).

Almost surely, 2^2972603040 is an apocalyptic number.

2972603040 is a gapful number since it is divisible by the number (20) 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 2972603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130107136).

2972603040 is an abundant number, since it is smaller than the sum of its proper divisors (7287611232).

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

2972603040 is a wasteful number, since it uses less digits than its factorization.

2972603040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2972603040 is about 54521.5832492051. The cubic root of 2972603040 is about 1437.8457758249.

The spelling of 2972603040 in words is "two billion, nine hundred seventy-two million, six hundred three thousand, forty".