2651259946608 has 480 divisors, whose sum is σ = 9240377328000. Its totient is φ = 690991202304.

The previous prime is 2651259946583. The next prime is 2651259946663. The reversal of 2651259946608 is 8066499521562.

It is a happy number.

2651259946608 is a `hidden beast` number, since 2 + 6 + 5 + 12 + 5 + 9 + 9 + 4 + 6 + 608 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411108568 + ... + 411115016.

It is an arithmetic number, because the mean of its divisors is an integer number (19250786100).

Almost surely, 2^{2651259946608} is an apocalyptic number.

2651259946608 is a gapful number since it is divisible by the number (28) 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 2651259946608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620188664000).

2651259946608 is an abundant number, since it is smaller than the sum of its proper divisors (6589117381392).

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

2651259946608 is a wasteful number, since it uses less digits than its factorization.

2651259946608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6849 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 2651259946608 in words is "two trillion, six hundred fifty-one billion, two hundred fifty-nine million, nine hundred forty-six thousand, six hundred eight".