2959997040 has 960 divisors, whose sum is σ = 14069099520. Its totient is φ = 552407040.

The previous prime is 2959997017. The next prime is 2959997057. The reversal of 2959997040 is 407999592.

2959997040 is a `hidden beast` number, since 2 + 9 + 599 + 9 + 7 + 0 + 40 = 666.

2959997040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79999902 + ... + 79999938.

It is an arithmetic number, because the mean of its divisors is an integer number (14655312).

Almost surely, 2^2959997040 is an apocalyptic number.

2959997040 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 2959997040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034549760).

2959997040 is an abundant number, since it is smaller than the sum of its proper divisors (11109102480).

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

2959997040 is a wasteful number, since it uses less digits than its factorization.

2959997040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The square root of 2959997040 is about 54405.8548319940. The cubic root of 2959997040 is about 1435.8103918099.

It can be divided in two parts, 2959 and 997040, that added together give a palindrome (999999).

The spelling of 2959997040 in words is "two billion, nine hundred fifty-nine million, nine hundred ninety-seven thousand, forty".