2540661600 has 144 divisors (see below), whose sum is σ = 8300374992. Its totient is φ = 675010560.

The previous prime is 2540661593. The next prime is 2540661659. The reversal of 2540661600 is 61660452.

It is a super-2 number, since 2×2540661600² = 12909922731429120000, which contains 22 as substring.

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, 701394 + ... + 705006.

It is an arithmetic number, because the mean of its divisors is an integer number (57641493).

Almost surely, 2^2540661600 is an apocalyptic number.

2540661600 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 2540661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150187496).

2540661600 is an abundant number, since it is smaller than the sum of its proper divisors (5759713392).

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

2540661600 is a wasteful number, since it uses less digits than its factorization.

2540661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2540661600 is about 50404.9759448410. The cubic root of 2540661600 is about 1364.5274431252.

The spelling of 2540661600 in words is "two billion, five hundred forty million, six hundred sixty-one thousand, six hundred".