2155402800 has 360 divisors, whose sum is σ = 8122448880. Its totient is φ = 527155200.

The previous prime is 2155402789. The next prime is 2155402811. The reversal of 2155402800 is 82045512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2155402789) and next prime (2155402811).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2155402800² = 9291522460495680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2508771 + ... + 2509629.

It is an arithmetic number, because the mean of its divisors is an integer number (22562358).

Almost surely, 2^2155402800 is an apocalyptic number.

2155402800 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 2155402800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061224440).

2155402800 is an abundant number, since it is smaller than the sum of its proper divisors (5967046080).

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

2155402800 is a wasteful number, since it uses less digits than its factorization.

2155402800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2155402800 is about 46426.3158133402. The cubic root of 2155402800 is about 1291.7430916047.

The spelling of 2155402800 in words is "two billion, one hundred fifty-five million, four hundred two thousand, eight hundred".