2126960640 has 576 divisors, whose sum is σ = 8851096800. Its totient is φ = 483065856.

The previous prime is 2126960621. The next prime is 2126960657. The reversal of 2126960640 is 460696212.

2126960640 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 9 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 2126960595 and 2126960604.

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, 13547442 + ... + 13547598.

Almost surely, 2^2126960640 is an apocalyptic number.

2126960640 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 2126960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425548400).

2126960640 is an abundant number, since it is smaller than the sum of its proper divisors (6724136160).

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

2126960640 is a wasteful number, since it uses less digits than its factorization.

2126960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2126960640 is about 46118.9835100471. The cubic root of 2126960640 is about 1286.0360743766.

The spelling of 2126960640 in words is "two billion, one hundred twenty-six million, nine hundred sixty thousand, six hundred forty".