2400240002640 has 40 divisors (see below), whose sum is σ = 7440744008928. Its totient is φ = 640064000640.

The previous prime is 2400240002623. The next prime is 2400240002663. The reversal of 2400240002640 is 462000420042.

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

It is a super-2 number, since 2×2400240002640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2400240002640.

It is a congruent number.

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, 5000499766 + ... + 5000500245.

Almost surely, 2^{2400240002640} is an apocalyptic number.

2400240002640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400240002640 is an abundant number, since it is smaller than the sum of its proper divisors (5040504006288).

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

2400240002640 is a wasteful number, since it uses less digits than its factorization.

2400240002640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001000027 (or 10001000021 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2400240002640 its reverse (462000420042), we get a palindrome (2862240422682).

The spelling of 2400240002640 in words is "two trillion, four hundred billion, two hundred forty million, two thousand, six hundred forty".