2490627620880 has 1440 divisors, whose sum is σ = 10551368240640. Its totient is φ = 538165555200.

The previous prime is 2490627620879. The next prime is 2490627620881. The reversal of 2490627620880 is 880267260942.

2490627620880 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 6 + 2 + 7 + 620 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2490627620879) and next prime (2490627620881).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2490627620881) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4780475020 + ... + 4780475540.

It is an arithmetic number, because the mean of its divisors is an integer number (7327339056).

Almost surely, 2^{2490627620880} is an apocalyptic number.

2490627620880 is a gapful number since it is divisible by the number (20) 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 2490627620880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275684120320).

2490627620880 is an abundant number, since it is smaller than the sum of its proper divisors (8060740619760).

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

2490627620880 is a wasteful number, since it uses less digits than its factorization.

2490627620880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2490627620880 in words is "two trillion, four hundred ninety billion, six hundred twenty-seven million, six hundred twenty thousand, eight hundred eighty".