2540920032 has 144 divisors (see below), whose sum is σ = 8617190400. Its totient is φ = 694400256.

The previous prime is 2540920021. The next prime is 2540920033. The reversal of 2540920032 is 2300290452.

2540920032 is a `hidden beast` number, since 2 + 540 + 92 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2540919978 and 2540920005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540920033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18969 + ... + 73767.

It is an arithmetic number, because the mean of its divisors is an integer number (59841600).

Almost surely, 2^2540920032 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 2540920032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308595200).

2540920032 is an abundant number, since it is smaller than the sum of its proper divisors (6076270368).

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

2540920032 is a wasteful number, since it uses less digits than its factorization.

2540920032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54845 (or 54834 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2540920032 is about 50407.5394360804. The cubic root of 2540920032 is about 1364.5737074002.

The spelling of 2540920032 in words is "two billion, five hundred forty million, nine hundred twenty thousand, thirty-two".