2129772624 has 160 divisors (see below), whose sum is σ = 6666240000. Its totient is φ = 572355072.

The previous prime is 2129772583. The next prime is 2129772637. The reversal of 2129772624 is 4262779212.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 950097 + ... + 952335.

It is an arithmetic number, because the mean of its divisors is an integer number (41664000).

Almost surely, 2^2129772624 is an apocalyptic number.

2129772624 is a gapful number since it is divisible by the number (24) 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 2129772624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333120000).

2129772624 is an abundant number, since it is smaller than the sum of its proper divisors (4536467376).

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

2129772624 is a wasteful number, since it uses less digits than its factorization.

2129772624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2419 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 2129772624 is about 46149.4596284724. The cubic root of 2129772624 is about 1286.6025666594.

The spelling of 2129772624 in words is "two billion, one hundred twenty-nine million, seven hundred seventy-two thousand, six hundred twenty-four".