2496798960 has 80 divisors (see below), whose sum is σ = 7792135200. Its totient is φ = 661335040.

The previous prime is 2496798943. The next prime is 2496798977. The reversal of 2496798960 is 698976942.

It is an interprime number because it is at equal distance from previous prime (2496798943) and next prime (2496798977).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2496798894 and 2496798903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850 + ... + 70670.

It is an arithmetic number, because the mean of its divisors is an integer number (97401690).

Almost surely, 2^2496798960 is an apocalyptic number.

2496798960 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 2496798960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896067600).

2496798960 is an abundant number, since it is smaller than the sum of its proper divisors (5295336240).

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

2496798960 is a wasteful number, since it uses less digits than its factorization.

2496798960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69986 (or 69980 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The square root of 2496798960 is about 49967.9793467777. The cubic root of 2496798960 is about 1356.6292969307.

The spelling of 2496798960 in words is "two billion, four hundred ninety-six million, seven hundred ninety-eight thousand, nine hundred sixty".