2632142820 has 48 divisors (see below), whose sum is σ = 7442987328. Its totient is φ = 694953600.

The previous prime is 2632142819. The next prime is 2632142831. The reversal of 2632142820 is 282412362.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211114 + ... + 223233.

It is an arithmetic number, because the mean of its divisors is an integer number (155062236).

Almost surely, 2^2632142820 is an apocalyptic number.

2632142820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2632142820 is an abundant number, since it is smaller than the sum of its proper divisors (4810844508).

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

2632142820 is a wasteful number, since it uses less digits than its factorization.

2632142820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434460 (or 434458 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2632142820 is about 51304.4132604594. The cubic root of 2632142820 is about 1380.7121613001.

The spelling of 2632142820 in words is "two billion, six hundred thirty-two million, one hundred forty-two thousand, eight hundred twenty".