2400515322030 has 640 divisors, whose sum is σ = 7753585213440. Its totient is φ = 521400084480.

The previous prime is 2400515321989. The next prime is 2400515322043. The reversal of 2400515322030 is 302235150042.

It is a happy number.

2400515322030 is a `hidden beast` number, since 2 + 400 + 5 + 1 + 5 + 3 + 220 + 30 = 666.

It is a super-2 number, since 2×2400515322030² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2400515321985 and 2400515322003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2706330247 + ... + 2706331133.

It is an arithmetic number, because the mean of its divisors is an integer number (12114976896).

Almost surely, 2^{2400515322030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400515322030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876792606720).

2400515322030 is an abundant number, since it is smaller than the sum of its proper divisors (5353069891410).

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

2400515322030 is a wasteful number, since it uses less digits than its factorization.

2400515322030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 2400515322030 in words is "two trillion, four hundred billion, five hundred fifteen million, three hundred twenty-two thousand, thirty".