2400902225190 has 192 divisors, whose sum is σ = 7621674877440. Its totient is φ = 512134824960.

The previous prime is 2400902225179. The next prime is 2400902225201. The reversal of 2400902225190 is 915222090042.

2400902225190 is a `hidden beast` number, since 240 + 0 + 9 + 0 + 2 + 225 + 190 = 666.

It is an interprime number because it is at equal distance from previous prime (2400902225179) and next prime (2400902225201).

It is a super-2 number, since 2×2400902225190² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 694851 + ... + 2298830.

It is an arithmetic number, because the mean of its divisors is an integer number (39696223320).

Almost surely, 2^{2400902225190} is an apocalyptic number.

2400902225190 is an abundant number, since it is smaller than the sum of its proper divisors (5220772652250).

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

2400902225190 is a wasteful number, since it uses less digits than its factorization.

2400902225190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993787 (or 2993784 counting only the distinct ones).

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

The spelling of 2400902225190 in words is "two trillion, four hundred billion, nine hundred two million, two hundred twenty-five thousand, one hundred ninety".