2494961820 has 288 divisors, whose sum is σ = 9086575680. Its totient is φ = 547430400.

The previous prime is 2494961813. The next prime is 2494961873. The reversal of 2494961820 is 281694942.

2494961820 is a `hidden beast` number, since 2 + 4 + 9 + 4 + 9 + 618 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 754170 + ... + 757470.

It is an arithmetic number, because the mean of its divisors is an integer number (31550610).

Almost surely, 2^2494961820 is an apocalyptic number.

2494961820 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 2494961820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543287840).

2494961820 is an abundant number, since it is smaller than the sum of its proper divisors (6591613860).

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

2494961820 is a wasteful number, since it uses less digits than its factorization.

2494961820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2494961820 is about 49949.5927911329. The cubic root of 2494961820 is about 1356.2964801898.

The spelling of 2494961820 in words is "two billion, four hundred ninety-four million, nine hundred sixty-one thousand, eight hundred twenty".