2410625400480 has 768 divisors, whose sum is σ = 9367281262080. Its totient is φ = 574105190400.

The previous prime is 2410625400479. The next prime is 2410625400481. The reversal of 2410625400480 is 840045260142.

2410625400480 is a `hidden beast` number, since 2 + 4 + 10 + 62 + 540 + 0 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2410625400479) and next prime (2410625400481).

It is a super-2 number, since 2×2410625400480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2410625400481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 974776524 + ... + 974778996.

It is an arithmetic number, because the mean of its divisors is an integer number (12196980810).

Almost surely, 2^{2410625400480} is an apocalyptic number.

2410625400480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2410625400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683640631040).

2410625400480 is an abundant number, since it is smaller than the sum of its proper divisors (6956655861600).

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

2410625400480 is a wasteful number, since it uses less digits than its factorization.

2410625400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2410625400480 in words is "two trillion, four hundred ten billion, six hundred twenty-five million, four hundred thousand, four hundred eighty".