2451995820 has 96 divisors (see below), whose sum is σ = 7891531200. Its totient is φ = 631314432.

The previous prime is 2451995807. The next prime is 2451995827. The reversal of 2451995820 is 285991542.

It is a happy number.

2451995820 is a `hidden beast` number, since 24 + 519 + 95 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2451995827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62629 + ... + 93948.

It is an arithmetic number, because the mean of its divisors is an integer number (82203450).

Almost surely, 2^2451995820 is an apocalyptic number.

2451995820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2451995820 is an abundant number, since it is smaller than the sum of its proper divisors (5439535380).

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

2451995820 is a wasteful number, since it uses less digits than its factorization.

2451995820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156624 (or 156616 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 2451995820 is about 49517.6314053893. The cubic root of 2451995820 is about 1348.4657137215.

The spelling of 2451995820 in words is "two billion, four hundred fifty-one million, nine hundred ninety-five thousand, eight hundred twenty".