2497984634880 has 3136 divisors, whose sum is σ = 11758202300160. Its totient is φ = 495338913792.

The previous prime is 2497984634833. The next prime is 2497984634909. The reversal of 2497984634880 is 884364897942.

2497984634880 is a `hidden beast` number, since 2 + 4 + 9 + 7 + 9 + 84 + 63 + 488 + 0 = 666.

It is a super-2 number, since 2×2497984634880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2497984634799 and 2497984634808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 67513098222 + ... + 67513098258.

Almost surely, 2^{2497984634880} is an apocalyptic number.

2497984634880 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 2497984634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879101150080).

2497984634880 is an abundant number, since it is smaller than the sum of its proper divisors (9260217665280).

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

2497984634880 is an equidigital number, since it uses as much as digits as its factorization.

2497984634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 2497984634880 in words is "two trillion, four hundred ninety-seven billion, nine hundred eighty-four million, six hundred thirty-four thousand, eight hundred eighty".