2077098240 has 576 divisors, whose sum is σ = 8241408000. Its totient is φ = 444358656.

The previous prime is 2077098211. The next prime is 2077098269. The reversal of 2077098240 is 428907702.

It is an interprime number because it is at equal distance from previous prime (2077098211) and next prime (2077098269).

It is a super-2 number, since 2×2077098240² = 8628674197222195200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25025239 + ... + 25025321.

It is an arithmetic number, because the mean of its divisors is an integer number (14308000).

Almost surely, 2^2077098240 is an apocalyptic number.

2077098240 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 2077098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120704000).

2077098240 is an abundant number, since it is smaller than the sum of its proper divisors (6164309760).

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

2077098240 is an equidigital number, since it uses as much as digits as its factorization.

2077098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 2077098240 is about 45575.1932524701. The cubic root of 2077098240 is about 1275.9069778854.

The spelling of 2077098240 in words is "two billion, seventy-seven million, ninety-eight thousand, two hundred forty".