2152940400 has 360 divisors, whose sum is σ = 8122448880. Its totient is φ = 524943360.

The previous prime is 2152940393. The next prime is 2152940411. The reversal of 2152940400 is 40492512.

2152940400 is a `hidden beast` number, since 215 + 2 + 9 + 40 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8377072 + ... + 8377328.

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

Almost surely, 2^2152940400 is an apocalyptic number.

2152940400 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 2152940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061224440).

2152940400 is an abundant number, since it is smaller than the sum of its proper divisors (5969508480).

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

2152940400 is a wasteful number, since it uses less digits than its factorization.

2152940400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2152940400 is about 46399.7887926228. The cubic root of 2152940400 is about 1291.2509948397.

The spelling of 2152940400 in words is "two billion, one hundred fifty-two million, nine hundred forty thousand, four hundred".