2148557400 has 288 divisors, whose sum is σ = 8165102400. Its totient is φ = 520732800.

The previous prime is 2148557381. The next prime is 2148557401. The reversal of 2148557400 is 47558412.

2148557400 is a `hidden beast` number, since 2 + 1 + 4 + 85 + 574 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148557401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 532591 + ... + 536609.

It is an arithmetic number, because the mean of its divisors is an integer number (28351050).

Almost surely, 2^2148557400 is an apocalyptic number.

2148557400 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 2148557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082551200).

2148557400 is an abundant number, since it is smaller than the sum of its proper divisors (6016545000).

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

2148557400 is a wasteful number, since it uses less digits than its factorization.

2148557400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2148557400 is about 46352.5339113192. The cubic root of 2148557400 is about 1290.3741478276.

The spelling of 2148557400 in words is "two billion, one hundred forty-eight million, five hundred fifty-seven thousand, four hundred".