2451490634880 has 960 divisors, whose sum is σ = 10246812206400. Its totient is φ = 556889001984.

The previous prime is 2451490634861. The next prime is 2451490634911. The reversal of 2451490634880 is 884360941542.

2451490634880 is a `hidden beast` number, since 2 + 4 + 5 + 14 + 90 + 63 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2451490634880² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 424203831 + ... + 424209609.

It is an arithmetic number, because the mean of its divisors is an integer number (10673762715).

Almost surely, 2^{2451490634880} is an apocalyptic number.

2451490634880 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 2451490634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123406103200).

2451490634880 is an abundant number, since it is smaller than the sum of its proper divisors (7795321571520).

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

2451490634880 is a wasteful number, since it uses less digits than its factorization.

2451490634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5991 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

It can be divided in two parts, 2451490 and 634880, that added together give a triangular number (3086370 = T₂₄₈₄).

The spelling of 2451490634880 in words is "two trillion, four hundred fifty-one billion, four hundred ninety million, six hundred thirty-four thousand, eight hundred eighty".