2651287464 has 384 divisors, whose sum is σ = 9132963840. Its totient is φ = 704132352.

The previous prime is 2651287451. The next prime is 2651287477. The reversal of 2651287464 is 4647821562.

2651287464 is a `hidden beast` number, since 2 + 6 + 512 + 8 + 74 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2651287451) and next prime (2651287477).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13458214 + ... + 13458410.

It is an arithmetic number, because the mean of its divisors is an integer number (23783760).

Almost surely, 2^2651287464 is an apocalyptic number.

2651287464 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 2651287464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566481920).

2651287464 is an abundant number, since it is smaller than the sum of its proper divisors (6481676376).

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

2651287464 is a wasteful number, since it uses less digits than its factorization.

2651287464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2651287464 is about 51490.6541422810. The cubic root of 2651287464 is about 1384.0515715243.

The spelling of 2651287464 in words is "two billion, six hundred fifty-one million, two hundred eighty-seven thousand, four hundred sixty-four".