2477879040 has 432 divisors, whose sum is σ = 9923685408. Its totient is φ = 522289152.

The previous prime is 2477879039. The next prime is 2477879059. The reversal of 2477879040 is 409787742.

It is a super-2 number, since 2×2477879040² = 12279769073742643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2445574 + ... + 2446586.

It is an arithmetic number, because the mean of its divisors is an integer number (22971494).

Almost surely, 2^2477879040 is an apocalyptic number.

2477879040 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 2477879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961842704).

2477879040 is an abundant number, since it is smaller than the sum of its proper divisors (7445806368).

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

2477879040 is a wasteful number, since it uses less digits than its factorization.

2477879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 2477879040 is about 49778.2988861612. The cubic root of 2477879040 is about 1353.1939082154.

The spelling of 2477879040 in words is "two billion, four hundred seventy-seven million, eight hundred seventy-nine thousand, forty".