2661062400 has 162 divisors, whose sum is σ = 9514104600. Its totient is φ = 709601280.

The previous prime is 2661062399. The next prime is 2661062447. The reversal of 2661062400 is 42601662.

It is a happy number.

2661062400 is a `hidden beast` number, since 2 + 6 + 610 + 6 + 2 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34501 + ... + 80699.

Almost surely, 2^2661062400 is an apocalyptic number.

2661062400 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 2661062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757052300).

2661062400 is an abundant number, since it is smaller than the sum of its proper divisors (6853042200).

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

2661062400 is a wasteful number, since it uses less digits than its factorization.

2661062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46231 (or 46209 counting only the distinct ones).

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

The square root of 2661062400 is about 51585.4863309439. The cubic root of 2661062400 is about 1385.7504220063.

The spelling of 2661062400 in words is "two billion, six hundred sixty-one million, sixty-two thousand, four hundred".