2494761984 has 352 divisors, whose sum is σ = 8693690880. Its totient is φ = 696729600.

The previous prime is 2494761967. The next prime is 2494762001. The reversal of 2494761984 is 4891674942.

2494761984 is a `hidden beast` number, since 2 + 494 + 7 + 61 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2494761967) and next prime (2494762001).

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2494761984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3953349 + ... + 3953979.

Almost surely, 2^2494761984 is an apocalyptic number.

2494761984 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 2494761984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346845440).

2494761984 is an abundant number, since it is smaller than the sum of its proper divisors (6198928896).

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

2494761984 is a wasteful number, since it uses less digits than its factorization.

2494761984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 660 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2494761984 is about 49947.5923744078. The cubic root of 2494761984 is about 1356.2602679990.

The spelling of 2494761984 in words is "two billion, four hundred ninety-four million, seven hundred sixty-one thousand, nine hundred eighty-four".