2590142940 has 432 divisors, whose sum is σ = 10316224800. Its totient is φ = 537546240.

The previous prime is 2590142939. The next prime is 2590142941. The reversal of 2590142940 is 492410952.

2590142940 is a `hidden beast` number, since 2 + 590 + 1 + 4 + 29 + 40 = 666.

2590142940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2590142939) and next prime (2590142941).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2590142895 and 2590142904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590142941) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3201256 + ... + 3202064.

It is an arithmetic number, because the mean of its divisors is an integer number (23880150).

Almost surely, 2^2590142940 is an apocalyptic number.

2590142940 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 2590142940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158112400).

2590142940 is an abundant number, since it is smaller than the sum of its proper divisors (7726081860).

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

2590142940 is a wasteful number, since it uses less digits than its factorization.

2590142940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2590142940 is about 50893.4469259059. The cubic root of 2590142940 is about 1373.3289566633.

It can be divided in two parts, 2590 and 142940, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 2590142940 in words is "two billion, five hundred ninety million, one hundred forty-two thousand, nine hundred forty".