2155154400 has 432 divisors, whose sum is σ = 8840246688. Its totient is φ = 483840000.

The previous prime is 2155154389. The next prime is 2155154411. The reversal of 2155154400 is 44515512.

2155154400 = T₃₉₉ + T₄₀₀ + ... + T₂₃₅₀.

2155154400 is a `hidden beast` number, since 21 + 551 + 54 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2155154389) and next prime (2155154411).

It is a congruent number.

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, 3074050 + ... + 3074750.

It is an arithmetic number, because the mean of its divisors is an integer number (20463534).

Almost surely, 2^2155154400 is an apocalyptic number.

2155154400 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 2155154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420123344).

2155154400 is an abundant number, since it is smaller than the sum of its proper divisors (6685092288).

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

2155154400 is a wasteful number, since it uses less digits than its factorization.

2155154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2155154400 is about 46423.6405293682. The cubic root of 2155154400 is about 1291.6934672668.

Adding to 2155154400 its reverse (44515512), we get a palindrome (2199669912).

The spelling of 2155154400 in words is "two billion, one hundred fifty-five million, one hundred fifty-four thousand, four hundred".