2640711400 has 48 divisors (see below), whose sum is σ = 6213664800. Its totient is φ = 1043551680.

The previous prime is 2640711341. The next prime is 2640711407. The reversal of 2640711400 is 41170462.

2640711400 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 (25).

It is not an unprimeable number, because it can be changed into a prime (2640711407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62940 + ... + 96139.

It is an arithmetic number, because the mean of its divisors is an integer number (129451350).

Almost surely, 2^2640711400 is an apocalyptic number.

2640711400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2640711400 is an abundant number, since it is smaller than the sum of its proper divisors (3572953400).

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

2640711400 is a wasteful number, since it uses less digits than its factorization.

2640711400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159178 (or 159169 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2640711400 is about 51387.8526502130. The cubic root of 2640711400 is about 1382.2087781632.

Adding to 2640711400 its reverse (41170462), we get a palindrome (2681881862).

The spelling of 2640711400 in words is "two billion, six hundred forty million, seven hundred eleven thousand, four hundred".