2154387456 has 384 divisors, whose sum is σ = 7145611200. Its totient is φ = 644972544.

The previous prime is 2154387349. The next prime is 2154387481. The reversal of 2154387456 is 6547834512.

2154387456 is a `hidden beast` number, since 21 + 543 + 87 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58226670 + ... + 58226706.

Almost surely, 2^2154387456 is an apocalyptic number.

2154387456 is a gapful number since it is divisible by the number (26) 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 2154387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572805600).

2154387456 is an abundant number, since it is smaller than the sum of its proper divisors (4991223744).

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

2154387456 is an frugal number, since it uses more digits than its factorization.

2154387456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 55 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 2154387456 is about 46415.3795201547. The cubic root of 2154387456 is about 1291.5402262598.

The spelling of 2154387456 in words is "two billion, one hundred fifty-four million, three hundred eighty-seven thousand, four hundred fifty-six".