2600942400 has 840 divisors, whose sum is σ = 11341583616. Its totient is φ = 572313600.

The previous prime is 2600942389. The next prime is 2600942441. The reversal of 2600942400 is 42490062.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42638370 + ... + 42638430.

Almost surely, 2^2600942400 is an apocalyptic number.

2600942400 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 2600942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670791808).

2600942400 is an abundant number, since it is smaller than the sum of its proper divisors (8740641216).

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

2600942400 is a wasteful number, since it uses less digits than its factorization.

2600942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2600942400 is about 50999.4352909912. The cubic root of 2600942400 is about 1375.2349835312.

The spelling of 2600942400 in words is "two billion, six hundred million, nine hundred forty-two thousand, four hundred".