2077283040 has 384 divisors, whose sum is σ = 8120383488. Its totient is φ = 435486720.

The previous prime is 2077283027. The next prime is 2077283063. The reversal of 2077283040 is 403827702.

It is a junction number, because it is equal to n+sod(n) for n = 2077282992 and 2077283010.

It is a congruent number.

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, 2341477 + ... + 2342363.

It is an arithmetic number, because the mean of its divisors is an integer number (21146832).

Almost surely, 2^2077283040 is an apocalyptic number.

2077283040 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 2077283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060191744).

2077283040 is an abundant number, since it is smaller than the sum of its proper divisors (6043100448).

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

2077283040 is a wasteful number, since it uses less digits than its factorization.

2077283040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2077283040 is about 45577.2206260979. The cubic root of 2077283040 is about 1275.9448160278.

The spelling of 2077283040 in words is "two billion, seventy-seven million, two hundred eighty-three thousand, forty".