2562125437440 has 640 divisors, whose sum is σ = 9243619799040. Its totient is φ = 680983511040.

The previous prime is 2562125437409. The next prime is 2562125437483. The reversal of 2562125437440 is 447345212652.

2562125437440 is a `hidden beast` number, since 2 + 5 + 6 + 21 + 254 + 374 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2562125437440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2357060577 + ... + 2357061663.

It is an arithmetic number, because the mean of its divisors is an integer number (14443155936).

Almost surely, 2^{2562125437440} is an apocalyptic number.

2562125437440 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 2562125437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621809899520).

2562125437440 is an abundant number, since it is smaller than the sum of its proper divisors (6681494361600).

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

2562125437440 is an frugal number, since it uses more digits than its factorization.

2562125437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 2562125437440 in words is "two trillion, five hundred sixty-two billion, one hundred twenty-five million, four hundred thirty-seven thousand, four hundred forty".