2562632349480 has 256 divisors, whose sum is σ = 9784659456000. Its totient is φ = 584409510144.

The previous prime is 2562632349451. The next prime is 2562632349559. The reversal of 2562632349480 is 849432362652.

2562632349480 is a `hidden beast` number, since 2 + 5 + 62 + 63 + 2 + 3 + 49 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 2932767 + ... + 3704913.

It is an arithmetic number, because the mean of its divisors is an integer number (38221326000).

Almost surely, 2^{2562632349480} is an apocalyptic number.

2562632349480 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 2562632349480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892329728000).

2562632349480 is an abundant number, since it is smaller than the sum of its proper divisors (7222027106520).

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

2562632349480 is a wasteful number, since it uses less digits than its factorization.

2562632349480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772613 (or 772603 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 2562632349480 in words is "two trillion, five hundred sixty-two billion, six hundred thirty-two million, three hundred forty-nine thousand, four hundred eighty".