2562434400 has 144 divisors (see below), whose sum is σ = 8544484368. Its totient is φ = 666624000.

The previous prime is 2562434387. The next prime is 2562434419. The reversal of 2562434400 is 44342652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85380 + ... + 111420.

It is an arithmetic number, because the mean of its divisors is an integer number (59336697).

Almost surely, 2^2562434400 is an apocalyptic number.

2562434400 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 2562434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272242184).

2562434400 is an abundant number, since it is smaller than the sum of its proper divisors (5982049968).

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

2562434400 is a wasteful number, since it uses less digits than its factorization.

2562434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26105 (or 26092 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2562434400 is about 50620.4938735291. The cubic root of 2562434400 is about 1368.4142413655.

The spelling of 2562434400 in words is "two billion, five hundred sixty-two million, four hundred thirty-four thousand, four hundred".