2012653440 has 384 divisors, whose sum is σ = 8295415200. Its totient is φ = 459841536.

The previous prime is 2012653381. The next prime is 2012653457. The reversal of 2012653440 is 443562102.

2012653440 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 653 + 4 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845532 + ... + 847908.

Almost surely, 2^2012653440 is an apocalyptic number.

2012653440 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 2012653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147707600).

2012653440 is an abundant number, since it is smaller than the sum of its proper divisors (6282761760).

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

2012653440 is a wasteful number, since it uses less digits than its factorization.

2012653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2012653440 is about 44862.6062550985. The cubic root of 2012653440 is about 1262.5725219262.

It can be divided in two parts, 201 and 2653440, that added together give a square (2653641 = 1629²).

The spelling of 2012653440 in words is "two billion, twelve million, six hundred fifty-three thousand, four hundred forty".