2512042640 has 40 divisors (see below), whose sum is σ = 6041901240. Its totient is φ = 970167296.

The previous prime is 2512042633. The next prime is 2512042651. The reversal of 2512042640 is 462402152.

2512042640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98089216 + 2413953424 = 9904^2 + 49132^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539069 + ... + 543708.

It is an arithmetic number, because the mean of its divisors is an integer number (151047531).

Almost surely, 2^2512042640 is an apocalyptic number.

2512042640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2512042640 is an abundant number, since it is smaller than the sum of its proper divisors (3529858600).

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

2512042640 is a wasteful number, since it uses less digits than its factorization.

2512042640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082819 (or 1082813 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2512042640 is about 50120.2817230710. The cubic root of 2512042640 is about 1359.3845687194.

Adding to 2512042640 its reverse (462402152), we get a palindrome (2974444792).

The spelling of 2512042640 in words is "two billion, five hundred twelve million, forty-two thousand, six hundred forty".